1000000001101 has 8 divisors (see below), whose sum is σ = 1016409591704. Its totient is φ = 983590931520.

The previous prime is 1000000001083. The next prime is 1000000001123. The reversal of 1000000001101 is 1011000000001.

It can be written as a sum of positive squares in 4 ways, for example, as 157808357001 + 842191644100 = 397251^2 + 917710^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000000001101 - 2¹⁷ = 999999870029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000000001201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6416635 + ... + 6570631.

It is an arithmetic number, because the mean of its divisors is an integer number (127051198963).

Almost surely, 2^{1000000001101} is an apocalyptic number.

It is an amenable number.

1000000001101 is a deficient number, since it is larger than the sum of its proper divisors (16409590603).

1000000001101 is a wasteful number, since it uses less digits than its factorization.

1000000001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260511.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1000000001101 its reverse (1011000000001), we get a palindrome (2011000001102).

It can be divided in two parts, 1000000001 and 101, that multiplied together give a palindrome (101000000101).

The spelling of 1000000001101 in words is "one trillion, one thousand, one hundred one".